SelfTest Tutorial Exercise 1321 Consider the experimental re

Self-Test Tutorial

{Exercise 13.21}

Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.

Use = .05 to test for any significant differences. Show entries to 2 decimals, if necessary.

The p-value is

What is your conclusion?

Solution

Treatements

A small p-value for any test indicates to reject the null hypothesis.

Here to test whether the treatment effects are significant at 5% level of significance,p-value=0.023<0.05

so we reject the null hypothesis that there is no significant differences between treatments.

Similarly,

o test whether the block effects are significant at 5% level of significance,p-value is approximately equal to 0 <0.05

so we reject the null hypothesis that there is no significant differences between blocks.

Hence we can conclude that treatments and blocks differ significantly among themselves.